Exponent Properties

Definitions

100

What is the name of the rule that allows you to keep the base and multiply the exponents.

Power to a Power Rule

200

What is the name of the rule that allows you to subtract the exponents and keep the common base.

Quotient Rule

300

What is the name of the rule that allows you raise each factor of the product to the given exponent.

Product to a Power Rule

400

What is the name of the rule that allows you to raise the numerator and the denominator of a quotient to the given exponent.

Quotient to a Power Rule

500

What is the name of the rule that allows you to add the exponents and keep the common base.

Product Rule

Zero Power!

100

13⁰ = ?

1

200

(5m)⁰ = ?

1

300

True or false: 4⁰ = 4

False

400

4x⁰ = ?

4

500

0⁰ = ?

Undefined(does not exist)

Quotient!

100

Simplify the expression 9¹⁰ /9⁶

9⁴

200

Simplify the expression. 11⁹ /11³

11⁶

300

Simplify the expression 5⁶ / 5⁴

5²

400

Simplify the expression. (4/5)¹²

4¹² 5¹²

500

Simplify the expression. (10/13)⁹

10⁹ /13⁹

Product!

100

Simplify the expression. 6³ 6⁵

6⁸

200

Simplify the expression. 256¹⁶ * 256¹⁴

256³⁰

300

Simplify the expression. (4 x 7)⁵

4^{5 x} 7⁵

400

Simplify the expression. (20m²)⁸

20⁸m¹⁶

500

Simplify the expression. (15⁷m⁰n³)²

15¹⁴n⁶

Power to a Power

100

Simplify the expression (2⁴)² = ?

2⁸

200

(9⁴)¹²

9⁴⁸

300

Simplify the expression. (8²)² = ?

8⁴

400

Simplify the expression. (9^8)1/2

9⁴

500

Simplify the expression. (1,250³⁾⁸¹

1,250²⁴³